Analysis of anisotropic dielectric gratings using differential method

An analysis algorithm is presented for the scattered field from a surface relief‐type anisotropic dielectric grating with an arbitrary permittivity tensor. The method based on the differential equation known widely as an analysis for isotropic dielectric gratings is extended here to the case where a...

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Published inElectronics & communications in Japan. Part 2, Electronics Vol. 73; no. 9; pp. 25 - 34
Main Authors Yamakita, Jiro, Matsumoto, Keiji, Mori, Shizuo, Rokushima, Katsu
Format Journal Article
LanguageEnglish
Published New York Wiley Subscription Services, Inc., A Wiley Company 1990
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Summary:An analysis algorithm is presented for the scattered field from a surface relief‐type anisotropic dielectric grating with an arbitrary permittivity tensor. The method based on the differential equation known widely as an analysis for isotropic dielectric gratings is extended here to the case where a dielectric grating contains an anisotropic medium. Further, an algorithm is proposed which avoids, by means of reorthogonalization of the initial value vectors, the difficulty in numerical treatment encountered by the differential method when the groove in the grating is deep and the number of expansion terms is large. By means of numerical examples, it is shown that stable numerical solutions can be obtained regardless of the depth of the grating grooves or the size of the expansion terms.
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ArticleID:ECJB4420730904
Jiro Yamakita graduated in 1969 from the Dept. of Electrical Engineering, Kyoto Institute of Technology, where he obtained an M.S. in 1971. After joining Mitsubishi Electric, he enrolled and later obtained a Dr. of Eng. degree from the University of Osaka Prefecture in 1979. In 1981, he became an Assistant there in the Dept. of Electrical Engineering. He has been engaged in research on optical waveguide.
Keiji Matsumoto graduated in 1988 from the Dept. of Electrical Engineering, the University of Osaka Prefecture. Presently, he is working toward his M.S. degree.
Shizuo Mori graduated in 1959 from the Dept. of Electrical Engineering, the University of Osaka Prefecture, where he obtained an M.S. in 1961 and joined the staff of the department. Since then, he has been engaged in research on microwave and millimeter‐wave circuits and optical waveguides. Presently, he is a Lecturer.
Katsu Rokushima graduated in 1950 from the Dept. of Electrical Engineering, Osaka University, and joined the staff of the Dept. of Electrical Engineering, University of Osaka Prefecture. He also has a Dr. of Eng. degree. Presently, he is a Professor at the University of Osaka Prefecture. He has been engaged in research on microwave circuits, antennas and optical waveguides. He is a member of the Institute of Electrical Engineers of Japan; IEEE; and USA.
ISSN:8756-663X
1520-6432
DOI:10.1002/ecjb.4420730904